▎ 摘　　要

Semiclassical spin-coherent kinetic equations can be derived from quantum theory by many different approaches (Liouville equation based approaches, nonequilibrium Green's function techniques, etc). The collision integrals turn out to be formally different, but coincide in textbook examples as well as for systems where the spin-orbit coupling is only a small part of the kinetic energy like in related studies on the spin Hall effect. In Dirac cone physics (graphene, surface states of topological insulators like Bi(1-x)Sb(x), Bi(2)Te(3) etc), where this coupling constitutes the entire kinetic energy, the difference manifests itself in the precise value of the electron-hole coherence originated quantum correction to the Drude conductivity sigma(0) similar to (e(2)/h)lk(F). The leading correction is derived analytically for single and multilayer graphene with general scalar impurities. The often neglected principal value terms in the collision integral are important. Neglecting them yields a leading correction of order (lk(F))(-1), whereas including them can give a correction of order (lk(F))(0). The latter opens up a counterintuitive scenario with finite electron-hole coherent effects at Fermi energies arbitrarily far above the neutrality point regime, for example in the form of a shift delta sigma similar to e(2)/h that only depends on the dielectric constant. This residual conductivity, possibly related to the one observed in recent experiments, depends crucially on the approach and could offer a setting for experimentally singling out one of the candidates. Concerning the different formalisms we notice that the discrepancy between a density matrix approach and a Green's function approach is removed if the generalized Kadanoff-Baym Ansatz in the latter is replaced by an anti-ordered version. This issue of Ansatz may also be important for Boltzmann type treatments of graphene beyond a linear response.